Finding the Fourth Proportional to 2,082.80, 3,122.56 and 1,431.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.80 : 3,122.56 = 1,431.60 : x
2. Step 2: Convert to fraction form
   2,082.80/3,122.56 = 1,431.60/x
3. Step 3: Cross multiply
   2,082.80x = 3,122.56 × 1,431.60
4. Step 4: Simplify right side
   2,082.80x = 4,470,256.90
5. Step 5: Solve for x
   x = 4,470,256.90/2,082.80
6. Step 6: Final answer
   x = 2,146.27